In the Promenade, and here and there in Récoltes et Semailles I will be .. travaux mathematiques de A. Grothendieck”)was written in in. Grothendieck began writing Récoltes et Semailles in June , and Récoltes et Semailles holds a position of particular importance. Récoltes et Semailles, Réflexions et témoignages sur un passé de volume partly autobiographical memoir describing Grothendieck’s life as a mathematician.
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He is most famous for his revolutionary advances in algebraic geometry, but he has also made major contributions to algebraic topology, number theory, category theory, Galois theory “new” mathdescent theory, commutative homological algebra and functional analysis. He declined the latter prize on ethical grounds in an open letter to the media. He is noted for his mastery of abstract approaches to mathematics, and his perfectionism in matters of formulation and presentation.
In particular, he demonstrated the ability to derive concrete results using only very general methods. He is the subject of many stories and some misleading rumors concerning his work habits and politics, his confrontations with other mathematicians and the French authorities, his withdrawal from mathematics at age 42, his retirement, and his subsequent lengthy writings.
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